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Finding the Fourth Proportional to 275,523.94, 412,891.57 and 156,950.29

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Solution

The fourth proportional to 275,523.94, 412,891.57 and 156,950.29 is: 235,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,523.94 : 412,891.57 = 156,950.29 : x
  2. Step 2: Convert to fraction form
    275,523.94/412,891.57 = 156,950.29/x
  3. Step 3: Cross multiply
    275,523.94x = 412,891.57 × 156,950.29
  4. Step 4: Simplify right side
    275,523.94x = 64,803,451,650.06
  5. Step 5: Solve for x
    x = 64,803,451,650.06/275,523.94
  6. Step 6: Final answer
    x = 235,200.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.